The equation is
According to Subtraction Property of equality: If then,
.
(Subtract cd from each side)
(Distributive property:
)
(Additive inverse property:
)
(Additive identity proparty:
)
According to Subtraction Property of equality: If then,
.
(Subtract z from each side)
(Additive inverse property:
)
(Additive identity proparty:
)
(Distributive property:
)
(Divide each side by 10-d)
(Cancel common terms)
Verify:
\To check the solution, substitute in original equation
\ \
(Cancel by the common terms)
(Additive inverse property:
)
(Additive identity proparty:
)
Compare the values, the equation is true.
\The value of a is .